[SQA Advanced Higher 2019 Q17c(i) Edited]
The first three terms of a sequence are given by
5x+8, 2x + 1, x - 4
-
The sequence is geometric for x = 11. There is a second value for x that also gives a geometric sequence.
For this second sequence, show that x²+bx+c = 0 for b and c which are integers to be found.